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所在平台: Udemy |
课程主页: https://www.udemy.com/course/master-the-fundamentals-of-calculus/
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课程名称：掌握微积分基础 (Master the Fundamentals of Calculus) 课程简介： 本课程专为正在学习大学阶段数学、准备IGCSE/GCE A Level或IB SL/HL数学考试的学生设计。同时，也欢迎正在学习IGCSE/GCE O Level纯数学的学生进行进阶学习。 课程内容（根据学生考试需求，将涵盖大部分或全部以下内容）： * 极限的概念 (Concept of limits) * 链式法则、乘积法则和商法则 (Chain rule, Product rule and Quotient rule) * 代数函数、三角函数、指数函数、对数函数等微分 (Differentiation of Algebraic functions, Trigonometric functions, Exponential functions, Logatihmic functions etc) * 驻点/极值点的概念 (Concept of Stationary Points) * 微分的应用 - 最大值/最小值、相关变化率、梯度/切线/法线、运动学 (Applications of Differentiation - Maxima/Minima, Connected Rates of Change, Gradient/Tangents/Normal, Kinematics) * 积分技巧 (Integration techniques) * 定积分与不定积分 (Finite and Infinite Integration) * 积分的应用 - 曲线下的面积、旋转体积、运动学 (Applications of Integration - Area under Graph, Volume of Revolution, Kinematics) 课程特色： 课程中将穿插测验和练习题，帮助学生熟悉微积分概念。此外，还有进一步的练习，以加深对知识点的理解。未来还将增加更多练习题，为学生提供充分的实践机会，提升微积分基础。 学习支持： 学习过程中如遇任何问题，欢迎随时联系讲师Dr. Ling M K Daniel (PhD)寻求帮助。 讲师寄语： 希望本课程能对您的学业有所助益。祝您学习愉快！
Dear students,Welcome to this course "Master the Fundamentals of Calculus"!This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A levels or the IB SL/HL Mathematics examinations. Students who are taking the IGCSE/GCE O levels pure mathematics are also welcome to read this course for advanced enrichment.What you will learn:At the end of the course, and depending on which exams you are taking, you will learn most/all of the followingConcept of limitsChain rule, Product rule and Quotient ruleDifferentiation of Algebraic functions, Trigonometric functions, Exponential functions, Logatihmic functions etcConcept of Stationary PointsApplications of Differentiation - Maxima/Minima, Connected Rates of Change, Gradient/Tangents/Normal, KinematicsIntegration techniquesFinite and Infinite IntegrationApplications of Integration - Area under Graph, Volume of Revolution, KinematicsAlong the way, there will be quizzes and practice questions for you to get familiarized with Calculus. There are also further practices which will enhance your understanding of the topic. More practice questions will be added in the near future to provide ample opportunities for students to improve on their Calculus fundamentals.If you encounter any problems, please do not hesitate to contact me for more clarifications. I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers! ;-)Dr. Ling M K Daniel, PhD
